1073233840900 has 135 divisors (see below), whose sum is σ = 2527109609451. Its totient is φ = 395624511360.

The previous prime is 1073233840867. The next prime is 1073233840927. The reversal of 1073233840900 is 90483323701.

The square root of 1073233840900 is 1035970.

It is a perfect power (a square), and thus also a powerful number.

1073233840900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 6954559236 + 1066279281664 = 83394^2 + 1032608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1750788994 + ... + 1750789606.

Almost surely, 2^{1073233840900} is an apocalyptic number.

1073233840900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1073233840900 is the 1035970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073233840900

1073233840900 is an abundant number, since it is smaller than the sum of its proper divisors (1453875768551).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1073233840900 is an frugal number, since it uses more digits than its factorization.

1073233840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 1073233840900 in words is "one trillion, seventy-three billion, two hundred thirty-three million, eight hundred forty thousand, nine hundred".